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223295305842 = 2327219313711617
BaseRepresentation
bin1100111111110101101…
…1111111100001110010
3210100100211111211112200
43033331123333201302
512124302044241332
6250325213204030
722063315532400
oct3177533774162
9710324454480
10223295305842
1186776419284
1237339190616
131809762460b
14ab43cc0470
155c1d66717c
hex33fd6ff872

223295305842 has 288 divisors, whose sum is σ = 628108116480. Its totient is φ = 56905390080.

The previous prime is 223295305801. The next prime is 223295305843. The reversal of 223295305842 is 248503592322.

223295305842 is a `hidden beast` number, since 2 + 2 + 3 + 29 + 530 + 58 + 42 = 666.

It is a super-2 number, since 2×2232953058422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (223295305843) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19215618 + ... + 19227234.

It is an arithmetic number, because the mean of its divisors is an integer number (2180930960).

Almost surely, 2223295305842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223295305842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314054058240).

223295305842 is an abundant number, since it is smaller than the sum of its proper divisors (404812810638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223295305842 is a wasteful number, since it uses less digits than its factorization.

223295305842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11726 (or 11716 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 223295305842 in words is "two hundred twenty-three billion, two hundred ninety-five million, three hundred five thousand, eight hundred forty-two".